2400082553 has 6 divisors (see below), whose sum is σ = 2638107402. Its totient is φ = 2181893120.

The previous prime is 2400082541. The next prime is 2400082561. The reversal of 2400082553 is 3552800042.

It can be written as a sum of positive squares in only one way, i.e., 1509477904 + 890604649 = 38852^2 + 29843^2 .

It is not a de Polignac number, because 2400082553 - 2¹⁰ = 2400081529 is a prime.

It is a super-2 number, since 2×2400082553² = 11520792522429995618, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2400082513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9917576 + ... + 9917817.

It is an arithmetic number, because the mean of its divisors is an integer number (439684567).

Almost surely, 2^2400082553 is an apocalyptic number.

It is an amenable number.

2400082553 is a deficient number, since it is larger than the sum of its proper divisors (238024849).

2400082553 is a wasteful number, since it uses less digits than its factorization.

2400082553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19835415 (or 19835404 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 2400082553 is about 48990.6374014464. The cubic root of 2400082553 is about 1338.8812510156.

Adding to 2400082553 its reverse (3552800042), we get a palindrome (5952882595).

The spelling of 2400082553 in words is "two billion, four hundred million, eighty-two thousand, five hundred fifty-three".